6976679760 has 120 divisors (see below), whose sum is σ = 23477280840. Its totient is φ = 1856695296.

The previous prime is 6976679713. The next prime is 6976679767. The reversal of 6976679760 is 679766796.

It can be written as a sum of positive squares in 4 ways, for example, as 124813584 + 6851866176 = 11172^2 + 82776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6976679767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356962 + ... + 375998.

It is an arithmetic number, because the mean of its divisors is an integer number (195644007).

Almost surely, 2^6976679760 is an apocalyptic number.

6976679760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6976679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738640420).

6976679760 is an abundant number, since it is smaller than the sum of its proper divisors (16500601080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6976679760 is a wasteful number, since it uses less digits than its factorization.

6976679760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19556 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The square root of 6976679760 is about 83526.5212971305. The cubic root of 6976679760 is about 1910.8045330083.

The spelling of 6976679760 in words is "six billion, nine hundred seventy-six million, six hundred seventy-nine thousand, seven hundred sixty".